t-distribution table

[galactus]

I have a question this time. I am wondering if anyone knows how you go about computing the t-table. It's probably complicated or it could be found somewhere. I have looked in vain and can not find a detail on how these values are derived. Suppose I had a two-tail test with 10 df and .99c.
The number corresponding to this in the table is 3.169.

How is this derived?.

I know the formula for the z-table,

\(\displaystyle \L\frac{1}{sqrt{2{\pi}}}\int_{-\infty}^{t}e^{\frac{{-}t^{2}}{2}}dt\)

but I can not find the t anywhere.

 

[pka]

Galactus, I know that you use Maple. I do not know Maple
However, I do use MathCad, which has a Maple Core
Below is an example of a classroom demonstration I did.

The trick is to define the area function, A(t), a s definite integral function.
Once we have that, a z-table can be generated.

I have also done it with DERIVE.
Therefore one should be able to do with TI92, in which the CAS is based on DERIVE.

I hope this is what your question means.
I think that Maple will open MathCad files.
Ifit does, I could give you the file if this what you meant.

 

[galactus]

Thanks pka. My TI-92 has a nice program called 'talpha' which gives it to

you. The reason I asked was, I am currently compiling an Excel

worksheet regarding error in hi-tech scales we use at work. To my

amazement, I just found it on Excel. It's called TINV.